Leibniz-Handschriften zur Mathematik LH 35, 3 B 20, fol. 8r
Machine transcription. Not an edition. Errors are expected: about 8% character error rate on Latin and French lines, higher on German. Mean line confidence on this page: 0.94.
Original at the GWLB · Page image · Annotations (IIIF) · Download text
One image of two folio pages side by side, registered by the library under both labels (also fol. 7v); this page is its right half.
The machine reads it as
- jam his quatuor in se invicem ducti
- producitur fractio cujus denominator est
- Y, numerator vero fit ex his quatuor.
- V, a -y. X. X+y in se invicem
- non
- ductis. Ergo si haec fractiocest
- quadratus, cum e nominator sit
- quadratus erit et numerator
- quadratus. Eego quia.
- non erit
- productum non- quadratus per
- quadratum in (fractio,) ver
- quadratum (denominutorem y2) multiplicatus
- producit (nume ratorem) non quadratum
- Ergo factum ex his qualuor.
- y
- X- y. 2. A + y
- non potest esse quadratus. jam horum
- tres posteriores sunt progressionis arithm
- ficae, primus vero est differentia progressio
- nis. Ergo factum ex talibus quatuor
- numeris non potest esse quadratus, quod
- demonstrandum proponebatur
- prop. IV. Area Trianguli rectanguli
- in numeris non potest esse quadratus
- huig
- Latera triangulian numeris sunt
- generaliter expressa sunt:
- X = V.
- ut a
- 2XV
- X + V.
- ed dumnotum est. Ex his duo
- priora sunt crca rectum, itaque ductu primi
- tertium est hypotenusa. Itaque ductu
Cite
Leibniz-Handschriften zur Mathematik LH 35, 3 B 20, fol. 8r. Machine transcription, not an edition: Leibniz Legible (model FoNDUE-GD_v2_ft_Leibniz, run 74). https://leibnizlegible.com/page/00068269:0015?run=74